No, the TBT3-UDZ supports a maximum of two monitors via "Display 1" and "Display 2" video output "banks" in the following configurations:
- DisplayPort + DisplayPort
- HDMI + HDMI
- DisplayPort + HDMI (cannot both be connected to the same "bank")
For additional details about supported displays, see here: What are the display output capabilities for the TBT3-UDZ?